KaFOFO's advice is really good.
Check out the descriptions of the courses, that can be very useful.
As for:
"I am not exactly sure what the difference would be with getting a "BASc Engineering Science" and 'BEng Aerospace Engineering". Maybe applying to grad school would effect this? I...
I don't have any insight regarding which choice to make, but:
You are SO wrong, and very unethical for blatantly *lying* on a thread where someone was really trying to seek advice for an important decision.
I know dozens of people that did Eng.Sci. and got their P.Eng.
You don't...
I don't think it's that simple, you see how each derivative is evaluated at gamma=0 ??
If we are expanding around an arbitrary funciton, then we are evaluating these derivatives at those "functions" (not just variables) ... and that's confusing me since this book doesn't explain what \gamma_1...
Thank you Brahman,
That would be the intuitive way of thinking about it (defining the functional Taylor series pointwise where at each point the series is equal to the Taylor series at that point) ,
but the reason why I was asking all this is because I thought the expression was much more...
Hello,
f[x(t)] is a functional of the function x(t).
Now, just as I can expand x(t) in a series about some point \hat{t}, which will give me an approximation of x(t) near \hat{t},
I want to expand f[x(t)] in a series about the function \hat{x}(t), which will give me an approximation of...
\hat{x}(t) was supposed to be the funciton about which the series is being expanded.
What you typed out looks like just a regular taylor series (expanded about a variable), I want a functional taylor series (expanded about a FUNCTION). I realized just now that the second term should probably...
Hello,
Is this problem completely ill-posed ??
Is there no such thing as a funcitonal taylor series ??
Is there a book where I can find the formula ??
THank you.
Hello,
Is there any place I can find the equation for the Taylor expansion of a functional around a function ??
Particularly, I want something like:
f[x(t)] = f[\hat{x}(t)] + (f[\hat{x}(t)] - f[x(t)] \frac{\delta f}{\delta x(t)}|_{x(t)=\hat{x}(t)} + \frac{(f[\hat{x}(t)] -...
Yes, I changed my thesis to "C++ is one of the most low-level languages that's still used today" because I realized it's considered a middle-level language, but it's still much more low-level than MATLAB.
That's precisely why it's not as good as FORTRAN for numerical computing. FORTRAN was...
C++ is one of the most low-level languages that's still used today (like FORTRAN and C).
1st generation languages (machine code), and 2nd generation languages (assembly) aren't used by scientists. C++, FORTRAN and C are 3rd generation languages...
For making software, video games, and web applications, I don't disagree with you.
But for SYMBOLIC computing, good luck getting C++ to manipulate rank 30 tensors, or solve nonlinear systems of PDEs.
I wouldn't even recommend C++ for numerical computing.
Matlab's the best for...
That's neat.
I was thinking it might also be computing many of those values rather than storing them in memory.
For example, I would guess that you haven't memorized what each element of the 3d levi-civita is, but you'd still be able to tell me what E_{3,1,2} is pretty easily, based on...
Mine's 2GHz with 4GB of RAM, and 79 processes.
I got the number 6.87MB from the bottom right corner of maple, it tells you how much memory is being used, and how much CPU time has been used. Another way would be to start the task manager and click on 'processes' and it will say how much...
Neat,
So it looks like Mathematica takes 0.8 seconds to make a rank 9 Levi-Civita pseudotensor, while Maple takes less than 0.01 seconds to make one of rank 30.
Also,
Maple's dot product of the rank 30 Levi-Civita with itself takes 0.49 seconds and 6.87MB of memory.
But it just seems to...
This thread had 68 views and still only 4 people voted!
There's no spyware or malware associated with with webpage, if that possibility is making you paranoid. It's an Oxford University webpage, so it's trustworthy!
I just want to get a good idea of what people use the most!
I'm thinking of...